LCM of 729, 322, 598, 468, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 322, 598, 468, 663 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 729, 322, 598, 468, 663. So, keep reading to learn more.
Given numbers are 729,322,598,468,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,322,598,468,663 is 103754196.
Find LCM of 729,322,598,468,663 with Prime Factorization
| 2 | 729, 322, 598, 468, 663 |
| 3 | 729, 161, 299, 234, 663 |
| 3 | 243, 161, 299, 78, 221 |
| 13 | 81, 161, 299, 26, 221 |
| 23 | 81, 161, 23, 2, 17 |
| 81, 7, 1, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 23 x 81 x 7 x 1 x 2 x 17 = 103754196
Therefore, the lowest common multiple of 729,322,598,468,663 is 103754196.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
729 x 322 x 598 x 468 x 663 = 43555596464016
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
729 : 1, 3, 9, 27, 81, 243, 729
322 : 1, 2, 7, 14, 23, 46, 161, 322
598 : 1, 2, 13, 23, 26, 46, 299, 598
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,322,598,468,663, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
322:2x 7x 23
598:2x 13x 23
468:2x 2x 3x 3x 13
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 13x 13x 23 = 419796
Therefore, the value for common factors is 419796.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 43555596464016/(1x419796)
LCM = 43555596464016/419796
LCM = 103754196
Thus, we can understand that the LCM of 729,322,598,468,663 is 103754196.
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FAQs on LCM of 729, 322, 598, 468, 663
1. What is the LCM of 729, 322, 598, 468, 663?
Answer: LCM of 729, 322, 598, 468, 663 is 103754196.
2. How to calculate the LCM of 729, 322, 598, 468, 663?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 729, 322, 598, 468, 663.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.